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Finding the Third Proportional to 195,290,498 and 417,761,398

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Solution

The third proportional to 195,290,498 and 417,761,398 is: 893,666,550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,290,498 : 417,761,398 = 417,761,398 : x
  2. Step 2: Convert to fraction form
    195,290,498/417,761,398 = 417,761,398/x
  3. Step 3: Cross multiply
    195,290,498x = 417,761,398 × 417,761,398
  4. Step 4: Simplify right side
    195,290,498x = 174,524,585,658,914,400
  5. Step 5: Solve for x
    x = 174,524,585,658,914,400/195,290,498
  6. Step 6: Final answer
    x = 893,666,550.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.